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International Journal of Smart and Nano Materials 2019年第2期10卷 156-176页

作者： Nataliia Iurlova Natalia Sevodina Dmitrii Oshmarin Maksim Iurlov Institute of Continuous Media Mechanics of the Ural Branch of RAS PermRussian Federation

An algorithm for numerical realisation of a mathematical statement of the natural vibrations problem for electro-viscoelastic bodies with passive external electric circuits(*** circuits)with an arbitrary configuration using the finite element method is proposed in the present *** proposed algorithm allows considering the viscoelastic properties of materials using the model of linear hereditary viscoelasticity with complex dynamic moduli and is used to solve 3D solid structure problems that are compatible for ANSYS package element *** technique implies the usage of the global assembled matrices of stiffness and mass,formed in the ANSYS *** basis of the algorithm is a novel approach that allows performing decomposition of the global assembled stiffness matrix formed in the ANSYS software package into constituents that are needed for calculation of the natural vibration frequencies of the objects under *** matrix components are used in the program that was written in FORTRAN(Formula Translation)*** problem could be efficiently applied for analysis of the dynamic processes in smart systems based on piezoelectric materials and could also form a basis for the development of numerical finite element algorithms for optimization of the dissipative characteristics of electromechanical systems with shunted piezoelectric elements.

关键词： Numerical simulation finite element method electroviscoelasticity piezoelement external electric circuit natural vibrations

Analysis of natural vibration of truncated conical shells partially filled with fluid

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International Journal of Mechanical System Dynamics 2024年第2期4卷 142-152页

作者： Sergey A.Bochkarev Sergey V.Lekomtsev Laboratory of Functional Materials Institute of Continuous Media MechanicsUral Branch of Russian Academy of SciencesPermRussian Federation

In this paper,we study the vibrational behavior of shells in the form of truncated cones containing an ideal compressible *** sloshing effect on the free surface of the fluid is *** dynamic behavior of the elastic structure is investigated based on the classical shell theory,the constitutive relations of which represent a system of ordinary differential equations written for new *** fluid vibrations are described in terms of acoustic approximation using the wave equation for hydrodynamic pressure written in spherical *** transformation into the system of ordinary differential equations is carried out by applying the generalized differential quadrature *** formulated boundary value problem is solved by Godunov's orthogonal sweep *** frequencies of shell vibrations are calculated using the stepwise procedure and the Muller *** accuracy and reliability of the obtained results are estimated by making a comparison with the known numerical and analytical *** dependencies of the lowest frequency on the fluid level and cone angle of shells under different combinations of boundary conditions(simply supported,rigidly clamped,and cantilevered shells)have been studied *** conical straight and inverted shells,a numerical analysis has been performed to estimate the possibility of finding configurations at which the lowest natural frequencies exceed the corresponding values of the equivalent cylindrical shell.

关键词： classical shell theory conical shell Godunov's orthogonal sweep method ideal compressible fluid generalized differential quadrature method natural vibrations

Algorithm for the layout of a piezoelectric element in an elastic medium providing the maximal piezoelectric effect within a specified frequency range

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International Journal of Smart and Nano Materials 2019年第4期10卷 268-284页

作者： Dmitrii Oshmarin Nataliia Iurlova Natalia Sevodina Maksim Iurlov Department of complex problems of deformable solids mechanics Institute of Continuous Media Mechanics of the Ural Branch of RASPermRussian Federation

An algorithm for the layout of a piezoelectric that provides the most efficient performance within a specified range of vibration frequencies is proposed in this *** algorithm is based on the consideration of a special parameter within the area of a piezoelectric element’s possible *** parameter characterizes the superposition of electromechanical coupling coefficients’for all the natural vibration frequencies included in a specified frequency *** condition for defining the best option for location of the piezoelectric element in the case of several equivalent positions is *** efficiency of the proposed algorithm is shown *** electromechanical coupling coefficients were calculated numerically based on solution to the problem of natural vibrations for electroelastic bodies using a finite element *** calculations were performed to define the best location for a single piezoelectric element at the surface of a thin-walled shell having a half-cylindrical *** results are presented for natural vibration frequencies within the frequency range from 0 up to 1100 *** numerical results were obtained by solving the problem of natural vibrations with a finite element method using the ANSYS software package.

关键词： Piezoelectric element’s layout natural vibrations continuous frequency range electromechanical coupling coefficient

An approach to determination of shunt circuits parameters for damping vibrations

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International Journal of Smart and Nano Materials 2018年第2期9卷 135-149,I0005页

作者： V.P.Matveenko N.A.Iurlova D.A.Oshmarin N.V.Sevodina M.A.Iurlov Department of complex problems of deformable solids mechanics Institute of Continuous Media Mechanics of the Ural Branch of RAS(ICMM UB RAS)PermRussian Federation

This paper considers the problem of natural vibrations of a deformable structure containing elements made of *** piezoelectric elements are connected through electrodes to an external electric circuit,which consists of resistive,inductive and capacitive *** on the solution of this problem,the parameters of external electric circuits are searched for to allow optimal passive control of the structural *** solution to the problem is complex natural vibration frequencies,the real part of which corresponds to the circular eigenfrequency of vibrations and the imaginary part corresponds to its damping rate(damping ratio).The analysis of behaviour of the imaginary parts of complex eigenfrequencies in the space of external circuit parameters allows one to damp given modes of structure *** effectiveness of the proposed approach is demonstrated using a cantilever-clamped plate and a shell structure in the form of a semi-cylinder connected to series resonant RL circuits.

关键词： Electoelasticity piezoelectric element shunt circuits damping natural vibrations numerical modeling